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Simplifying 2(x + 9) = 8(x + -8) Reorder the terms: 2(9 + x) = 8(x + -8) (9 * 2 + x * 2) = 8(x + -8) (18 + 2x) = 8(x + -8) Reorder the terms: 18 + 2x = 8(-8 + x) 18 + 2x = (-8 * 8 + x * 8) 18 + 2x = (-64 + 8x) Solving 18 + 2x = -64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + 2x + -8x = -64 + 8x + -8x Combine like terms: 2x + -8x = -6x 18 + -6x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -6x = -64 + 0 18 + -6x = -64 Add '-18' to each side of the equation. 18 + -18 + -6x = -64 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -64 + -18 -6x = -64 + -18 Combine like terms: -64 + -18 = -82 -6x = -82 Divide each side by '-6'. x = 13.66666667 Simplifying x = 13.66666667
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